The acceleration of an object that has a mass of 0.025 kg and exhibits simple harmonic motion is given by the following equation. ax (t) = (10 m/s²) cos ( at + Calculate the object's velocity vx (t) at time t = 4.0 s, assuming that the velocity of the object is v, = -3.2 m/s at Uz (4.0 s) = m/s t = 0 s.
The acceleration of an object that has a mass of 0.025 kg and exhibits simple harmonic motion is given by the following equation. ax (t) = (10 m/s²) cos ( at + Calculate the object's velocity vx (t) at time t = 4.0 s, assuming that the velocity of the object is v, = -3.2 m/s at Uz (4.0 s) = m/s t = 0 s.
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![The acceleration of an object that has a mass of 0.025 kg and exhibits simple harmonic motion is given by the following equation.
\[ a_x(t) = (10 \, \text{m/s}^2) \cos \left( \pi t + \frac{3\pi}{2} \right) \]
Calculate the object's velocity \( v_x(t) \) at time \( t = 4.0 \, \text{s} \), assuming that the velocity of the object is \( v_x = -3.2 \, \text{m/s} \) at \( t = 0 \, \text{s} \).
\[ v_x(4.0 \, \text{s}) = \, \boxed{} \, \text{m/s} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe496cfb4-14de-4877-8074-43f9c7c49581%2Fc4f85abd-0dd6-4d1f-bfef-30dd793b96c9%2Fdn5i1wj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The acceleration of an object that has a mass of 0.025 kg and exhibits simple harmonic motion is given by the following equation.
\[ a_x(t) = (10 \, \text{m/s}^2) \cos \left( \pi t + \frac{3\pi}{2} \right) \]
Calculate the object's velocity \( v_x(t) \) at time \( t = 4.0 \, \text{s} \), assuming that the velocity of the object is \( v_x = -3.2 \, \text{m/s} \) at \( t = 0 \, \text{s} \).
\[ v_x(4.0 \, \text{s}) = \, \boxed{} \, \text{m/s} \]
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